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Finding the Fourth Proportional to 1,745.37, 2,615.49 and 1,602.18

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Solution

The fourth proportional to 1,745.37, 2,615.49 and 1,602.18 is: 2,400.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.37 : 2,615.49 = 1,602.18 : x
  2. Step 2: Convert to fraction form
    1,745.37/2,615.49 = 1,602.18/x
  3. Step 3: Cross multiply
    1,745.37x = 2,615.49 × 1,602.18
  4. Step 4: Simplify right side
    1,745.37x = 4,190,485.77
  5. Step 5: Solve for x
    x = 4,190,485.77/1,745.37
  6. Step 6: Final answer
    x = 2,400.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.